3 papers
math.RT2025
Micro-packets containing generic representations
Nicolas Arancibia Robert
For a real group , it is known from the work of Kostant and Vogan that the L-packet associated with an L-parameter of contains a \emph{generic} representation if and onl…
math.RT2025
Micro-packets for real groups of type
Leticia Barchini, Nicolas Arancibia Robert, Paul Mezo
In their study of Arthur's conjectures for real groups, Adams, Barbasch, and Vogan introduced the notion of micro-packets. Micro-packets are finite sets of irreducible representati…
math-ph2025
GUE-corners process in two-periodic Aztec diamonds
Nicolas Robert, Philippe Ruelle
Links between uniform Aztec diamonds and random matrices are numerous in the literature. In particular, it has been established that, after appropriate rescaling, the probability d…